Answer:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x² + 10
(4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
0 = x2 – 9x + 20 (liked terms are grouped and simplified)
PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Step-by-step explanation:
hope this helps
Answer:
D,E
Step-by-step explanation:
The change in the x-coordinates of any two points on a line in the xyplane is
the
O A. slope
B. rise
C. run
D. angle
SUBMIT
Answer: The change in the x-coordinates of any two points on a line in the XY plane is the:RUN
Step-by-step explanation:
What is the range?????? 100pts and
Answer:
the range is 8
Step-by-step explanation:
the range is the highest value number minus the lowest value number. You can find that by the whiskers of the box plot which are 10 and 2. 10 minus 2 is 8.
Please mark as brainliest
Answer:
8 is the answer
Step-by-step explanation:
16 + 40 ÷ 4 + (13 - 9)2
Step-by-step explanation:
= 16 + 40 ÷ 4 + ( 13 - 9 ) 2
= 16 + 40 ÷ 4 + 4 × 2
= 16 + 10 + 4× 2
= 16+ 10 + 8
= 34
What is the area, in square units, of the shaded part of the rectangle below?
Answer:
10 units²
Step-by-step explanation:
Area = bh/2
b = 4
h = 5
A = (4 x 5)/2 = 10 units²
I hope this helps!
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°
The length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
What is the law of sine?The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.
An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall.
The figure of the problem is attached below. The length of AB which is L has to be find out.
The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the sun is more than X = 60°. Thus, the angle ABC is 30 degrees.
[tex]AB=90-60\\AB=30^o[/tex]
The sum of all the interior angle is 180 degree. Thus, the angle ACB is,
[tex]\angle ACB=180-50-30\\\angle ACB=100^o\\[/tex]
Let suppose, the length of AB is a. Thus, by the sine law,
[tex]\dfrac{\sin 30}{a}=\dfrac{\sin 100}{88}\\a=\dfrac{88\times\sin 300}{\sin 100}\\a=447\rm\; in[/tex]
Thus, the length of awning which covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall, is 44.7 inches.
Learn more about the sine law here;
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What is the area of the unshaded part of the rectangle to the right?
A. 19,000 ft²
B. 45,000 ft²
C. 28,000 ft²
D. 26,000 ft²
Answer:
D 26000
Step-by-step explanation:
100 x 100 = 10000
120 x 150 = 18000/2 = 9000
150 x 300 = 45000
10000 + 9000 = 19000
45000 - 19000 = 26000
Rachel’s dog had 13 puppies. She gave away 5 pups. How many puppies did Rachel have left.
Answer:
8 puppies
Step-by-step explanation:
13-5=8
Answer: she had 8 pups left
Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.
Hope this helps-
of money Itzel has left over after buying p bottles
of nail polish
What does the constant 25 represent in this
context?
If f(1)=2 and f(n) = f(n-1)^2+4 then what is the value of f(3)?
Answer:
f(3) = 68
Step-by-step explanation:
Given:
[tex]\sf f(1)=2[/tex]
[tex]\sf f(n) = f(n-1)^2+4[/tex]
[tex]\sf \implies f(2) = f(1)^2+4[/tex]
[tex]\sf \implies f(2) = 2^2+4=8[/tex]
[tex]\sf \implies f(3) = f(2)^2+4[/tex]
[tex]\sf \implies f(3) = 8^2+4=68[/tex]
HURRY AND TY !!!!!!!!
Answer:
17
Step-by-step explanation:
5 ft 3 inches = 63 inches
3 ft 10 inches = 46 inches
63-14 = 17 inches
Answer:
17 inches
1 foot 5 inches
Step-by-step explanation:
1 foot = 12 imches
First we multiply :)
5 x 12 = 60
3 x 12 = 36
Now we add on the already there inches :)
60 + 3 = 63
36 + 10 = 46
Finally we subtract :)
63 - 46 = 17
17/12 = 1 foot 5 inches :)
Have an amazing day!!
Please rate and mark brainliest!!
6. Rosanne is selling her Corvette. She wants to include a photo of her
car in the ad. Three publications give her prices for her ad with the
photograph:
Lake Success Shopsaver
$59.00
Glen Head Buyer
$71.00
Floral Park Moneysaver $50.00
a. What is the mean price of these ads? Round to the nearest cent.
b. What would it cost her to run all three ads?
c. If each of the three newspapers used the mean price as their ad
price, what would it cost Rosanne to run ads in all three papers?
d. Find the range of these ad prices.
Answer:
add them
Step-by-step explanation:
you have to add them all up because it says find the range
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
3 pi inches
6 pi inches
12 pi inches
24 pi inches
Answer:
6 pi inches
Step-by-step explanation:
Entire minute is one entire circle
circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches
from 6 to 12 position is half of a cirlce , so 6 pi inches
Answer:
6 pi inches
Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW
have a nice day/night
-<- :)
The product of a number and 8 is equal to the sum of the number and 13 .
Answer:
n*8 = n+13
Step-by-step explanation:
To find the equation, we must first disect the sentence. A product of a number and 8. This means a number times 8. A number n times 8. n*8. Next, is equal to. This means add an equal to sign after n*8. n*8 = . The sum of the number (n) and 13. This means n+13. So, put it all together:
n*8 = n+13
Work out size of angle x
Answer:
x=120°
Step-by-step explanation:
120×2=240
360-240=120
x=120
Answer:
Angle x = 120 Degrees
Step-by-step explanation:
Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees
e.g. Triangle have 3 sides
3 - 2 = 1
1 X 180 = 180
A Triangle has a total of 180 Degrees
Total Interior angle of a hexagon = 720 Degrees
Interior angle of a regular hexagon is 720 / 6 = 120
360 Degrees in a circle
360 - 120 - 120 = 120
List three solutions for the inequality x≥5 and give one example of a number that is not a solutions.
Answer:
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the inequality: Multiplying or dividing both sides by a negative number. Swapping left and right hand.JUST FOLLOW THE TEXT TO GET THE ANSWER OF THE INEQUALITY ×>5
If 20% of a number is 8, find 10% of that number.
Answer:
20%=8
10%=?
by cross multiplications,
10×8=80
80÷20=4
Hence the answer is 4.
Answer:
4
Step-by-step explanation:
think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D
A 2.25 units
C 5 units
B 4 units
0 16 units
Answer:
B
Step-by-step explanation:
If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
BW × WD = AW × WC ( substitute values )
6 BW = 3 × 8 = 24 ( divide both sides by 6 )
BW = 4 units
Answer:
Option B
Step-by-step explanation:
Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.
AW * WC = WD * BW
3 * 8 = 6 * BW
[tex]\sf \dfrac{3*8}{6} = BW[/tex]
BW = 4 units
help me please!
I'm a little confused
Answer:
Is A
Step-b-step explanation:
40.5
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP
Answer:
C & D because vertical angles have the same measures and thoses angles intersects each other
Step-by-step explanation:
help me please i need help with all other 5 questions
Answer:
[tex] {6}^{3 } [/tex]
Step-by-step explanation:
[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]
17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
Answer number 3 please no bots please I’m just trying to get help.
Answer:
no 3. is C
no 4. 144 square inch
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Please help
Select all of the non-real complex numbers in the given table.
Answer:
All the expressions that have a negative in the radical
(Boxes 2, 3 5, and 6)
Step-by-step explanation:
You can't take the square root of a negative number. When you square a number, the product will always be positive.
Hope this helps!
2(7+1)divided by 4+5
please help i hate math
Answer:
B and D I think
Step-by-step explanation:
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
third side = 6
using pythagoras theorem:
a² + b² = c²
5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6Answer:
The length of the third side is 6 units
Step-by-step explanation:
We know that this is an right angled triangle , so
by using Pythagoras theorem we can find out the third side of the triangle ..
=> P² + B² = H²
=> 5² + (√11)² = H²
=> 25 + 11 = H²
=> 36 = H²
=> √36 = H
=> 6 = H
Which expression(s) are equivalent to (5^1/8 times 5^3/8
A.) 5^3/2
B.) 5^9/8
C.) Squareroot 5^3
D.) (^8squareroot 5)^9
[tex]5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} } [/tex]
[tex] = 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5} [/tex]
three sides of a quadrilateral are the same length. q. the length of the fourth side is 7 inches. the perimeter of the quadrilateral is 40 inches. write an equation that represents the situation
Answer:
if you are trying to find the length of the other three sides then
40 = 3x + 7
Step-by-step explanation:
im stuck and i need help
a right angle is always 90° and is you sum up all 3 of the angles of the triangle, you always get 180°, so:
180°-55°-90°= 35°
PLEASE HELP!
Andrew is flying a kite. The angle of elevation of the kite varies between 56° and 60°.
Andrew has let out 15 m of string on the kite. Draw a picture to model this situation.
Then, determine the minimum and maximum heights of the kite. Round the heights
to the nearest hundredth.
Minimum=
Maximum=
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the kite. Hence:
At an angle of 56°, the height is:
sin(56) = h/15
h = 12.44 m
At an angle of 60°, the height is:
sin(60) = h/15
h = 13 m
The maximum height of the kite is 13 meters while the minimum height is 12.44 meters.
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